Tim and Charlie started jogging from the same point. Charlie started jogging 10 minutes earlier than Tim. Tim's jogging speed was 400 m/min and Charlie's jogging speed was 150 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Tim to catch up with Charlie?
- What distance would Charlie have jogged when Tim caught up with him? Express your answer in meters.
|
Tim |
Charlie |
Speed |
400 m/min |
150 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Charlie covered when he jogged 10 minutes earlier
= 10 x 150
= 1500 m
Distance that Tim covered more than Charlie per min
= 400 - 150
= 250 m
Time that Tim needed to take to cover the additional 1500 m
= 1500 ÷ 250
= 6 min
(b)
Time that Charlie would had jogged when Tim caught up with him
= 6 + 10
= 16 min
Distance that Charlie would have jogged when Tim caught up with him
= 16 x 150
= 2400 m
Answer(s): (a) 6 min; (b) 2400 m